# How do you find the derivative of #w=1/sinz#?

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The answer below is also valid, but here is a shortcut if you can remember the identity:

Final Answer

This is a common basic identity which can be quickly memorized along with d/dx of sine, cosine, tangent, etc. in order to save time in the future:

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To find the derivative of ( w = \frac{1}{\sin(z)} ), you can use the quotient rule. The derivative can be expressed as:

[ \frac{dw}{dz} = -\frac{\cos(z)}{\sin^2(z)} ]

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